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Finding the Fourth Proportional to 9,418.66, 14,129.94 and 3,094.02

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Solution

The fourth proportional to 9,418.66, 14,129.94 and 3,094.02 is: 4,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.66 : 14,129.94 = 3,094.02 : x
  2. Step 2: Convert to fraction form
    9,418.66/14,129.94 = 3,094.02/x
  3. Step 3: Cross multiply
    9,418.66x = 14,129.94 × 3,094.02
  4. Step 4: Simplify right side
    9,418.66x = 43,718,273.90
  5. Step 5: Solve for x
    x = 43,718,273.90/9,418.66
  6. Step 6: Final answer
    x = 4,641.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.